Coordinate Geometry-Equation of a Circle (KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 1 - 2 of 2

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Question number: 1

» Coordinate Geometry » Equation of a Circle

Appeared in Year: 2013

MCQ▾

Question

Two line segments AB and CD are constrained to move along the x and y axes, respectively, in such a way that the points A,B,C,D are on cyclic. If AB=a and CD=b , then the locus of the centre of the circle passing through A,B,C,D in polar coordinates is – (Model Paper)

Choices

Choice (4) Response

a.

r2=a2+b24

b.

r2=4(a2+b2)

c.

r2cos2θ=a2b24

d.

r2cos2θ=4(a2b2)

Question number: 2

» Coordinate Geometry » Equation of a Circle

Appeared in Year: 2015

MCQ▾

Question

The shortest distance from the origin to a variable point on the sphere (x2)2+(y3)2+(z6)2=1 is –

Choices

Choice (4) Response

a.

8

b.

7

c.

5

d.

6

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